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Finding the Third Proportional to 120,623 and 257,276

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Solution

The third proportional to 120,623 and 257,276 is: 548,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,623 : 257,276 = 257,276 : x
  2. Step 2: Convert to fraction form
    120,623/257,276 = 257,276/x
  3. Step 3: Cross multiply
    120,623x = 257,276 × 257,276
  4. Step 4: Simplify right side
    120,623x = 66,190,940,176
  5. Step 5: Solve for x
    x = 66,190,940,176/120,623
  6. Step 6: Final answer
    x = 548,742.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.